Determination of Bending Angle of Light Deflection Subject to Possible Weak and Strong Quantum Gravity Effects

TL;DR

This paper derives explicit formulas for the bending angle of light near black holes considering potential quantum gravity effects, and validates these formulas through numerical solutions.

Contribution

It introduces a highly effective method to obtain explicit expressions for light deflection angles influenced by weak and strong quantum gravity effects.

Findings

Derived explicit formulas for light bending angles under quantum gravity effects

Validated formulas through numerical solutions of differential equations

Demonstrated accuracy and effectiveness of the method

Abstract

Explicit expressions for the bending angle of light deflection arising from phenomenologically deformed black-hole metrics, subject to possible weak and strong quantum gravity effects, respectively, are obtained, by a highly effective method. The accuracy and effectiveness of these expressions are then illustrated by numerically solving the differential equation governing the deflection angle directly in the weak quantum effect situation.